等差数列{an}的前n项和为sn,若sn=30,s2n=100,则s3n=( )

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等差数列{an}的前n项和为sn,若sn=30,s2n=100,则s3n=( )

等差数列{an}的前n项和为sn,若sn=30,s2n=100,则s3n=( )
等差数列{an}的前n项和为sn,若sn=30,s2n=100,则s3n=( )

等差数列{an}的前n项和为sn,若sn=30,s2n=100,则s3n=( )
等差数列的sn,s2n-sn,s3n-s2n也成等差数列
2(s2n-sn)=sn+s3n-s2n
2(100-30)=30+s3n-100
2*70=s3n-70
140=s3n-70
s3n=210

等差数列的sn,s2n-sn,s3n-s2n成等差
等比数列的sn,s2n-sn,s3n-s2n成等比